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Finding the Fourth Proportional to 294,404.60, 441,390.90 and 116,823.80

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Solution

The fourth proportional to 294,404.60, 441,390.90 and 116,823.80 is: 175,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,404.60 : 441,390.90 = 116,823.80 : x
  2. Step 2: Convert to fraction form
    294,404.60/441,390.90 = 116,823.80/x
  3. Step 3: Cross multiply
    294,404.60x = 441,390.90 × 116,823.80
  4. Step 4: Simplify right side
    294,404.60x = 51,564,962,223.42
  5. Step 5: Solve for x
    x = 51,564,962,223.42/294,404.60
  6. Step 6: Final answer
    x = 175,149.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.